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Volumn 63, Issue 3, 2005, Pages 398-427

A FETI-DP method for the parallel iterative solution of indefinite and complex-valued solid and shell vibration problems

Author keywords

Complex; Domain decomposition; FETI DP; FETI DPH; Indefinite; PCG; PGMRES

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FREQUENCY RESPONSE; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS; NUMBER THEORY; PROBLEM SOLVING; VIBRATIONS (MECHANICAL);

EID: 19044369577     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1282     Document Type: Article
Times cited : (32)

References (29)
  • 4
    • 84968466516 scopus 로고
    • A preconditioned GMRES method for nonsymmetric or indefinite problems
    • Xu J, Cai XC. A preconditioned GMRES method for nonsymmetric or indefinite problems. Mathematics of Computation 1992; 59 :311-319.
    • (1992) Mathematics of Computation , vol.59 , pp. 311-319
    • Xu, J.1    Cai, X.C.2
  • 7
    • 0001237820 scopus 로고
    • A Lagrange multiplier based divide and conquer finite element algorithm
    • Farhat C. A Lagrange multiplier based divide and conquer finite element algorithm. Journal of Computer and System Engineering 1991; 2 :149-156.
    • (1991) Journal of Computer and System Engineering , vol.2 , pp. 149-156
    • Farhat, C.1
  • 8
    • 0026239487 scopus 로고
    • A method of finite element tearing and interconnecting and its parallel solution algorithm
    • Farhat C, Roux FX. A method of finite element tearing and interconnecting and its parallel solution algorithm. International Journal for Numerical Methods in Engineering 1991; 32:1205-1227.
    • (1991) International Journal for Numerical Methods in Engineering , vol.32 , pp. 1205-1227
    • Farhat, C.1    Roux, F.X.2
  • 9
    • 0000072213 scopus 로고
    • An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems
    • Farhat C, Roux FX. An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems. SIAM Journal on Scientific and Statistical Computing 1992; 13 :379-396.
    • (1992) SIAM Journal on Scientific and Statistical Computing , vol.13 , pp. 379-396
    • Farhat, C.1    Roux, F.X.2
  • 11
    • 0035609885 scopus 로고    scopus 로고
    • On the convergence of a dual-primal substructuring method
    • Mandel J, Tezaur R. On the convergence of a dual-primal substructuring method. Numerische Mathematik 2001; 88:543-558.
    • (2001) Numerische Mathematik , vol.88 , pp. 543-558
    • Mandel, J.1    Tezaur, R.2
  • 12
    • 0036556595 scopus 로고    scopus 로고
    • Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients
    • Klawonn A, Widlund OB, Dryja M. Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. SIAM Journal on Numerical Analysis 2002; 40:159-179.
    • (2002) SIAM Journal on Numerical Analysis , vol.40 , pp. 159-179
    • Klawonn, A.1    Widlund, O.B.2    Dryja, M.3
  • 15
    • 0032022379 scopus 로고    scopus 로고
    • The two-level FETI method for static and dynamic plate problems - Part I: An optimal iterative solver for biharmonic systems
    • Farhat C, Mandel J. The two-level FETI method for static and dynamic plate problems - Part I: an optimal iterative solver for biharmonic systems. Computer Methods in Applied Mechanics and Engineering 1998; 155:129-152.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.155 , pp. 129-152
    • Farhat, C.1    Mandel, J.2
  • 16
    • 0032025175 scopus 로고    scopus 로고
    • The two-level FETI method - Part II: Extension to shell problems, parallel implementation and performance results
    • Farhat C, Chen PS, Mandel J, Roux FX. The two-level FETI method - Part II: extension to shell problems, parallel implementation and performance results. Computer Methods in Applied Mechanics and Engineering 1998; 155:153-180.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.155 , pp. 153-180
    • Farhat, C.1    Chen, P.S.2    Mandel, J.3    Roux, F.X.4
  • 18
    • 0033079432 scopus 로고    scopus 로고
    • A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
    • Rixen D, Farhat C. A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems. International Journal for Numerical Methods in Engineering 1999; 44:489-516.
    • (1999) International Journal for Numerical Methods in Engineering , vol.44 , pp. 489-516
    • Rixen, D.1    Farhat, C.2
  • 19
    • 0034405892 scopus 로고    scopus 로고
    • A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
    • Farhat C, Macedo A, Lesoinne M. A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems. Numerische Mathematik 2000; 85:283-308.
    • (2000) Numerische Mathematik , vol.85 , pp. 283-308
    • Farhat, C.1    Macedo, A.2    Lesoinne, M.3
  • 22
    • 0032000723 scopus 로고    scopus 로고
    • On the general solution by a direct method of a large-scale singular system of linear equations: Application to the analysis of floating structures
    • Farhat C, Géradin M. On the general solution by a direct method of a large-scale singular system of linear equations: application to the analysis of floating structures. International Journal for Numerical Methods in Engineering 1998; 41:675-696.
    • (1998) International Journal for Numerical Methods in Engineering , vol.41 , pp. 675-696
    • Farhat, C.1    Géradin, M.2
  • 24
    • 0000669170 scopus 로고
    • Preconditioning indefinite discretization matrices
    • Yserentant H. Preconditioning indefinite discretization matrices. Numerische Mathematik 1988; 54:719-734.
    • (1988) Numerische Mathematik , vol.54 , pp. 719-734
    • Yserentant, H.1
  • 25
    • 0004173267 scopus 로고
    • Preconditioners for indefinite problems
    • Ph.D. Thesis, Westfalische, Wilhelms-Universitat, Munster
    • Klawonn A. Preconditioners for indefinite problems. Ph.D. Thesis, Westfalische, Wilhelms-Universitat, Munster, 1995.
    • (1995)
    • Klawonn, A.1
  • 26
  • 27
    • 19044379555 scopus 로고    scopus 로고
    • Private communication
    • Ng E. Private communication.
    • Ng, E.1
  • 29
    • 0003668665 scopus 로고
    • Prentice Hall Series in Computational Mathematics. Prentice-Hall: Englewood Cliffs, NJ
    • Parlett BN. The Symmetric Eigenvalue Problem, Prentice Hall Series in Computational Mathematics. Prentice-Hall: Englewood Cliffs, NJ, 1980.
    • (1980) The Symmetric Eigenvalue Problem
    • Parlett, B.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.